I not sure if you mean the gradient of the line or the equation, so here is both.
Gradient (=m) :
( 4, 4 ) ( 6, 5 )
( x1 , y1) ( x2, y2 )
m = y2-y1 / x2-x1
= -5-4 / 6 - 4
= -9 / 2 (as a fraction)
= -4.5 (as a decimal)
Equation of the line :
m = -9/2
( 4, 4 )
( a, b )
y - b =m (x - a)
y - 4= -9/2 (x - 4)
(Multiply both sides by 2 to get rid of fraction)
2y - 4 = -9 (x - 4)
2y - 4 = -9x + 36
2y = -9x + 36 + 4
2y = -9x + 40
2y + 9x = 40
Please feel free to ask if you have any questions
Answer:
the answer is -75% that mean 75% decrease
9514 1404 393
Answer:
P' = (3, -5)
Step-by-step explanation:
Rotation 180° about the origin is the same as reflection across the origin. The transformation is given by ...
(x, y) ⇒ (-x, -y) . . . . . . the signs of the coordinates are both changed
P(-3, 5) ⇒ P'(3, -5)
Answer:
Step-by-step explanation:
Answer:
sinѲ = -1/√5 or -√5/5
Step-by-step explanation:
On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.
On the Cartesian plane we also have x, y where:
x = r cosѲ .......Equation 1
and y = r sinѲ ........Equation 2
r = √x² + y²
In the question we are given points (2,-1)
Where x = 2 , y = -1
We would solve for r by substituting 2 for x and -1 for y
r = √ 2² + -1²
r = √ 4 + 1
r = √5
In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2
y = r sinѲ
Where y = -1 and r = √5
-1 = √5 sinѲ
Divide both sides by √5
sinѲ = -1/√5
We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5
sinѲ = -√5/5
Therefore, sinѲ = -1/√5 of -√5/5
